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The equation shows how the cost of buying pencils is related to the number of pencils purchased. $c= 0.5p+2$ . The variable $p$ represents the number of pencils, and the variable $c$ represents the total cost. How much does it cost to buy $10$ pencils?

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Find a value using two-variable equations: word problems

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Q. The equation shows how the cost of buying pencils is related to the number of pencils purchased.

c= 0.5p+2

. The variable

p

represents the number of pencils, and the variable

c

represents the total cost. How much does it cost to buy

10

pencils?

Identify variable for pencils: Identify the variable that $10$ pencils correspond to. $p$ represents the number of pencils, so $p = 10$ .
Substitute $p$ in equation: Substitute $p$ with $10$ in the equation $c = 0.5p + 2$ . $c = 0.5 \times 10 + 2$ .
Perform calculation: Perform the calculation: $c = 0.5 \times 10 + 2 = 5 + 2 = 7$ .

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